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Simplifying (7p + 9)(2p + -5) = 0 Reorder the terms: (9 + 7p)(2p + -5) = 0 Reorder the terms: (9 + 7p)(-5 + 2p) = 0 Multiply (9 + 7p) * (-5 + 2p) (9(-5 + 2p) + 7p * (-5 + 2p)) = 0 ((-5 * 9 + 2p * 9) + 7p * (-5 + 2p)) = 0 ((-45 + 18p) + 7p * (-5 + 2p)) = 0 (-45 + 18p + (-5 * 7p + 2p * 7p)) = 0 (-45 + 18p + (-35p + 14p2)) = 0 Combine like terms: 18p + -35p = -17p (-45 + -17p + 14p2) = 0 Solving -45 + -17p + 14p2 = 0 Solving for variable 'p'. Factor a trinomial. (-9 + -7p)(5 + -2p) = 0Subproblem 1
Set the factor '(-9 + -7p)' equal to zero and attempt to solve: Simplifying -9 + -7p = 0 Solving -9 + -7p = 0 Move all terms containing p to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -7p = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -7p = 0 + 9 -7p = 0 + 9 Combine like terms: 0 + 9 = 9 -7p = 9 Divide each side by '-7'. p = -1.285714286 Simplifying p = -1.285714286Subproblem 2
Set the factor '(5 + -2p)' equal to zero and attempt to solve: Simplifying 5 + -2p = 0 Solving 5 + -2p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2p = 0 + -5 -2p = 0 + -5 Combine like terms: 0 + -5 = -5 -2p = -5 Divide each side by '-2'. p = 2.5 Simplifying p = 2.5Solution
p = {-1.285714286, 2.5}
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